- 06-135 Vladimir Georgescu
- On the Spectral Analysis of Quantum Field Hamiltonians
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Apr 28, 06
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Abstract. We define C*-algebras on a Fock space such that the Hamiltonians
of quantum field models with positive mass are affiliated to
them. We describe the quotient of such algebras with respect to the
ideal of compact operators and deduce consequences in the spectral
theory of these Hamiltonians: we compute their essential spectrum
and give a systematic procedure for proving the Mourre estimate.
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